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This paper presents an integrated motion planning system for autonomous vehicle (AV) parking in the presence of other moving vehicles. The proposed system includes 1) a hybrid environment predictor that predicts the motions of the…

Robotics · Computer Science 2022-04-28 Jessica Leu , Yebin Wang , Masayoshi Tomizuka , Stefano Di Cairano

We propose a Stochastic MPC (SMPC) formulation for path planning with autonomous vehicles in scenarios involving multiple agents with multi-modal predictions. The multi-modal predictions capture the uncertainty of urban driving in distinct…

Robotics · Computer Science 2023-11-01 Siddharth H. Nair , Hotae Lee , Eunhyek Joa , Yan Wang , H. Eric Tseng , Francesco Borrelli

Motion trajectory planning is one crucial aspect for automated vehicles, as it governs the own future behavior in a dynamically changing environment. A good utilization of a vehicle's characteristics requires the consideration of the…

Optimization and Control · Mathematics 2018-07-31 Franz Gritschneder , Knut Graichen , Klaus Dietmayer

Many motion planning algorithms for automated driving require estimating the probability of collision (POC) to account for uncertainties in the measurement and estimation of the motion of road users. Common POC estimation techniques often…

Robotics · Computer Science 2026-01-22 Leon Tolksdorf , Arturo Tejada , Christian Birkner , Nathan van de Wouw

Robots will increasingly operate near humans that introduce uncertainties in the motion planning problem due to their complex nature. Typically, chance constraints are introduced in the planner to optimize performance while guaranteeing…

Robotics · Computer Science 2023-07-04 Oscar de Groot , Laura Ferranti , Dariu Gavrila , Javier Alonso-Mora

Motion planning in an autonomous agent is responsible for providing smooth, safe and efficient navigation. Many solutions for dealing this problem have been offered, one of which is, Artificial Potential Fields (APF). APF is a simple and…

Robotics · Computer Science 2020-05-11 Javad Amiryan , Mansour Jamzad

This paper describes autonomous racing of RC race cars based on mathematical optimization. Using a dynamical model of the vehicle, control inputs are computed by receding horizon based controllers, where the objective is to maximize…

Optimization and Control · Mathematics 2017-11-21 Alexander Liniger , Alexander Domahidi , Manfred Morari

In this paper, we present a Model Predictive Control (MPC) framework based on path velocity decomposition paradigm for autonomous driving. The optimization underlying the MPC has a two layer structure wherein first, an appropriate path is…

Robotics · Computer Science 2018-03-09 Mithun Babu , Yash Oza , Arun Kumar Singh , K. Madhava Krishna , Shanti Medasani

Real-time multi-target path planning is a key issue in the field of autonomous driving. Although multiple paths can be generated in real-time with polynomial curves, the generated paths are not flexible enough to deal with complex road…

Artificial Intelligence · Computer Science 2019-09-18 Hongtu Zhou , Xinneng Yang , Enwei Zhang , Junqiao Zhao , Lewen Cai , Chen Ye , Yan Wu

Path planning is a classic problem for autonomous robots. To ensure safe and efficient point-to-point navigation an appropriate algorithm should be chosen keeping the robot's dimensions and its classification in mind. Autonomous robots use…

Robotics · Computer Science 2023-05-01 Alka Choudhary

Model predictive control (MPC) provides a useful means for controlling systems with constraints, but suffers from the computational burden of repeatedly solving an optimization problem in real time. Offline (explicit) solutions for MPC…

Systems and Control · Electrical Eng. & Systems 2022-09-14 Daniel Tabas , Baosen Zhang

We introduce a prioritized system-optimal algorithm for mandatory lane change (MLC) behavior of connected and automated vehicles (CAV) from a dedicated lane. Our approach applies a cooperative lane change that prioritizes the decisions of…

Robotics · Computer Science 2021-04-26 Nachuan Li , Austen Z. Fan , Riley Fischer , Wissam Kontar , Bin Ran

This paper presents a method for local motion planning in unstructured environments with static and moving obstacles, such as humans. Given a reference path and speed, our optimization-based receding-horizon approach computes a local…

Robotics · Computer Science 2020-10-21 Bruno Brito , Boaz Floor , Laura Ferranti , Javier Alonso-Mora

Model predictive control (MPC) is a popular control method that has proved effective for robotics, among other fields. MPC performs re-planning at every time step. Re-planning is done with a limited horizon per computational and real-time…

Robotics · Computer Science 2017-03-22 Aviv Tamar , Garrett Thomas , Tianhao Zhang , Sergey Levine , Pieter Abbeel

Path planning is a fundamental scientific problem in robotics and autonomous navigation, requiring the derivation of efficient routes from starting to destination points while avoiding obstacles. Traditional algorithms like A* and its…

Robotics · Computer Science 2025-04-10 Silin Meng , Yiwei Wang , Cheng-Fu Yang , Nanyun Peng , Kai-Wei Chang

Nonlinear model predictive control (NMPC) is a popular strategy for solving motion planning problems, including obstacle avoidance constraints, in autonomous driving applications. Non-smooth obstacle shapes, such as rectangles, introduce…

Systems and Control · Electrical Eng. & Systems 2024-03-05 Rudolf Reiter , Katrin Baumgärtner , Rien Quirynen , Moritz Diehl

We propose a robust nonlinear model predictive control (MPC) scheme for trajectory-tracking control of autonomous vehicles at the limits of handling on non-planar road surfaces. We derive the dynamics from first principles and selectively…

Systems and Control · Electrical Eng. & Systems 2026-04-22 Joscha F. Bongard , Georg Jank , Simon Sagmeister , Boris Lohmann

With the increasing adoption of plug-in electric vehicles (PEVs), it is critical to develop efficient charging coordination mechanisms that minimize the cost and impact of PEV integration to the power grid. In this paper, we consider the…

Optimization and Control · Mathematics 2016-04-04 Wanrong Tang , Ying Jun Zhang

This article introduces a numerical algorithm that serves as a preliminary step toward solving continuous-time model predictive control (MPC) problems directly without explicit time-discretization. The chief ingredients of the underlying…

Optimization and Control · Mathematics 2024-01-24 Souvik Das , Siddhartha Ganguly , Muthyala Anjali , Debasish Chatterjee

Safe and efficient path planning in parking scenarios presents a significant challenge due to the presence of cluttered environments filled with static and dynamic obstacles. To address this, we propose a novel and computationally efficient…

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